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. 2017 Jan 12;87(8):1541–1558. doi: 10.1080/00949655.2016.1277425

Table 2. Comparing random slope IOU model for balanced data (m=1000, n=20 and k=3) simulated with weak derivative tracking Inline graphic.

    Random slope IOU models
    RE1 RE2 RE3
Converged N 878 1000 1000
Opt. Iter. Median (IQR) Inline graphic Inline graphic Inline graphic
Inline graphic Bias Inline graphic (MCSE Inline graphic) Inline graphic Inline graphic Inline graphic
  Empirical SD of Inline graphic 0.095 0.036 0.028
  Median SE of Inline graphic (IQR) Inline graphic Inline graphic Inline graphic
  CP Inline graphic Inline graphic Inline graphic Inline graphic
Inline graphic Bias Inline graphic (MCSE Inline graphic) Inline graphic Inline graphic Inline graphic
  Empirical SD 2.1 0.076 0.053
  Median SE (IQR) Inline graphic Inline graphic Inline graphic
  CP Inline graphic Inline graphic Inline graphic Inline graphic
Inline graphic Bias Inline graphic (MCSE Inline graphic) Inline graphic Inline graphic Inline graphic
  Empirical SD 0.97 0.043 0.032
  Median SE (IQR) Inline graphic Inline graphic Inline graphic
  CP Inline graphic Inline graphic Inline graphic Inline graphic
Inline graphic Bias Inline graphic (MCSE Inline graphic) Inline graphic Inline graphic Inline graphic
  Empirical SD 0.68 0.70 0.70
  Median SE (IQR) Inline graphic Inline graphic Inline graphic
  CP Inline graphic Inline graphic Inline graphic Inline graphic
Inline graphic Bias Inline graphic (MCSE Inline graphic) Inline graphic Inline graphic Inline graphic
  Empirical SD 0.023 0.025 0.025
  Median SE (IQR) Inline graphic Inline graphic Inline graphic
  CP Inline graphic Inline graphic Inline graphic Inline graphic
Inline graphic Bias Inline graphic (MCSE Inline graphic) Inline graphic Inline graphic Inline graphic
  Empirical SD 0.12 0.13 0.13
  Median SE (IQR) Inline graphic Inline graphic Inline graphic
  CP Inline graphic Inline graphic Inline graphic Inline graphic

Note: Optimization performed using NR algorithm and IOU parameterization Inline graphic. Over 1000 simulated datasets: number converged, median and IQR of the number of optimization iterations (Opt. Iter.) and for each variance parameter ν: bias of the estimates of ν with Monte Carlo standard error (MCSE), standard deviation of the estimates of its transformation Inline graphic, median and IQR of the estimated standard error (SE) of Inline graphic and empirical coverage percentage (CP) of the Inline graphic confidence interval for ν. Results reported to two significant figures.